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Finding the Third Proportional to 43,734.94 and 93,696.75

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Solution

The third proportional to 43,734.94 and 93,696.75 is: 200,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,734.94 : 93,696.75 = 93,696.75 : x
  2. Step 2: Convert to fraction form
    43,734.94/93,696.75 = 93,696.75/x
  3. Step 3: Cross multiply
    43,734.94x = 93,696.75 × 93,696.75
  4. Step 4: Simplify right side
    43,734.94x = 8,779,080,960.56
  5. Step 5: Solve for x
    x = 8,779,080,960.56/43,734.94
  6. Step 6: Final answer
    x = 200,733.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.